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. 2010 Jul 21;10:68. doi: 10.1186/1471-2288-10-68

Table 3.

Measurement and structural invariance across gender at cycle 1 Young adults (18-39 years old; n = 5748)

Level of invariance X2
df
p value
CFI TLI RMSEA Δχ2
dfc
p value
Measurement invariance
 M1. Configural 66.3
14
< .0001
0.993 0.993 0.036 N/A
 M2. Metric (vs. M1) 54.7
15
< .0001
0.995 0.995 0.03 8.7
4
0.0679
 M3. Tau equivalence (vs. M2) 1108.1
19
< .0001
0.855 0.893 0.141 972.7
5
< .0001
 M4. Scalar - Complete (vs. M2) 84.0
25
< .0001
0.992 0.996 0.029 41.5
13
<.0001
 M5. Scalar - Partial a (vs. M2) 60.3
21
< .0001
0.995 0.997 0.026 11.3
8
0.1828
 M6. Scale factor - Partialb (vs. M5) 62.1
23
< .0001
0.995 0.997 0.024 15.5
10
0.1142
Structural invariance
 M7. Latent variances (vs. M6) 48.1
17
< .0001
0.996 0.997 0.025 3.8
1
0.0522
 M8. Latent means (vs. M7) 158.2
16
< .0001
0.981 0.983 0.056 69.7
2
< .0001

a The constraint of equal item threshold was relaxed for item C (restless or fidgety) and item F (everything is an effort).

b Complete invariance of the scale factors could not be investigated since items C and F had to be unconstrained in the preceding model (i.e., scalar invariance model). No additional items were freed to reach partial scale factor invariance.

c The degrees of freedom for the chi-square tests are adjusted for the WLSMV estimator and do not correspond to difference of degrees of freedom between the more constrained and the less constrained model.